Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 117

Computer Calculus Construction Mathematics 117

Stephen Wolfram

JANUARY 31, 2023

He’s writing a paper, he says, basically to clarify the Second Law, (or, as he calls it, “the second fundamental theorem”—rather confidently asserting that he will “prove this theorem”): Part of the issue he’s trying to address is how the calculus is done: The partial derivative symbol ∂ had been introduced in the late 1700s.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

DECEMBER 13, 2021

When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical. Also in the area of calculus we’ve added various conveniences to the handling of differential equations. 1/(24 60 60+1.).

Construction 66

Construction Computer Physics Accessibility 66